WWE made that statement in the court documents while noting that Flair had been let go several weeks before TNA filed a lawsuit alleging that WWE had gone after Flair, described as "under a TNA contract" in the lawsuit.
That date would be Friday 5/11 while TNA's Sacrifice PPV was on 5/13. TNA claimed in the original PPV lawsuit that Flair had no showed the PPV. If he was fired, as the filing claims, he couldn't have no showed as he was no longer employed by the company.
It's interesting to note that Flair is still listed as an official member of the TNA roster on the company website.
I'll have more on the WWE vs. TNA lawsuit shortly.